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Finding the Fourth Proportional to 10,029.18, 13,838.22 and 5,552.62

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Solution

The fourth proportional to 10,029.18, 13,838.22 and 5,552.62 is: 7,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.18 : 13,838.22 = 5,552.62 : x
  2. Step 2: Convert to fraction form
    10,029.18/13,838.22 = 5,552.62/x
  3. Step 3: Cross multiply
    10,029.18x = 13,838.22 × 5,552.62
  4. Step 4: Simplify right side
    10,029.18x = 76,838,377.14
  5. Step 5: Solve for x
    x = 76,838,377.14/10,029.18
  6. Step 6: Final answer
    x = 7,661.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.